Fuzzy Soft Multiset Theory
Author(s) -
Shawkat Alkhazaleh,
Abdul Razak Salleh
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/350603
Subject(s) - multiset , generalization , soft set , mathematics , fuzzy set , fuzzy logic , set (abstract data type) , set theory , algebra over a field , discrete mathematics , pure mathematics , artificial intelligence , computer science , mathematical analysis , programming language
In 1999 Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Alkhazaleh et al. in 2011 introduced the definition of a soft multiset as a generalization of Molodtsov's soft set. In this paper we give the definition of fuzzy soft multiset as a combination of soft multiset and fuzzy set and study its properties and operations. We give examples for these concepts. Basic properties of the operations are also given. An application of this theory in decision-making problems is shown
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